Weighted Hardy spaces and BMO spaces associated with Schrödinger operators



In this paper, we characterize the weighted Hardy space equation image related to the Schrödinger operator equation image, with V a non-negative potential satisfying a reverse Hölder inequality, by atomic decomposition and Riesz transforms. We also get a characterization of its dual space equation image through a weighted Carleson measure. Then we prove the boundedness of some classical operators associated to equation image on the weighted BMO space equation image.